Syllabus scavenger hunt for Math 215

Answer the following as accurately as possible. Raise hands when completed.

  1. What is the most important "required" thing to bring to class?
  2. Is book homework graded?
  3. Is WeBWorK graded?
  4. Which recommendation will be most useful?
  5. If you have a non-authorized absence but complete the assignment before the instructor returns it to the class, how much credit is it worth?
  6. What are "MP"? How many MP do you start with?
  7. When is WeBWorK due?
  8. What is special about the quizzes?
  9. How can you find the instructor's Drop-in times?
  10. Ask one question about the course.

Limits review

Compute the following limits.

  1. \( \displaystyle\lim_{n \to \infty} \dfrac{\ln(n)}{3n} \)
  2. \( \displaystyle\lim_{n \to \infty} \dfrac{8 + 3^n}{4 + 8^n} \)
  3. \( \displaystyle\lim_{n \to \infty} \dfrac{\sqrt{n}}{n + 3} \)
  4. \( \displaystyle\lim_{n \to \infty} \dfrac{n^4 + 2n}{n^3 - 1} \)

Derivative review

Compute the following derivatives.

  1. \( \dfrac{d}{dx} \left( x^2 + \sqrt{x} + x^{-1} - \dfrac{1}{x^2} \right) \)
  2. \( f(x) = \sin(x) \)
  3. \( f(x) = \cos(x) \)
  4. \( f(x) = \tan(x) \)
  5. \( \dfrac{d}{dt} \left( t^{1/2} \sin(t) \right) \)
  6. \( f(x) = \dfrac{\ln(x)}{x} \)
  7. \( \dfrac{d}{dy}( \ln(\tan(y))) \)

Integration review

Compute the following integrals.

  1. \( \displaystyle\int_{}^{} \left(x^2 + \frac{1}{x^2} + \frac{1}{x} \right) \,dx \)
  2. \( \displaystyle\int_{}^{} 5 e^x \,dx \)
  3. \( \displaystyle\int_{}^{} \sin(x) \,dx \)
  4. \( \displaystyle\int_{}^{} \cos(x) \,dx \)
  5. \( \displaystyle\int_{}^{} e^{2x}\,dx \)
  6. \( \displaystyle\int_{1}^{5} (2x + 1) \,dx \)